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Finding the Fourth Proportional to 32,828.44, 45,287.76 and 23,872

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Solution

The fourth proportional to 32,828.44, 45,287.76 and 23,872 is: 32,932.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,828.44 : 45,287.76 = 23,872 : x
  2. Step 2: Convert to fraction form
    32,828.44/45,287.76 = 23,872/x
  3. Step 3: Cross multiply
    32,828.44x = 45,287.76 × 23,872
  4. Step 4: Simplify right side
    32,828.44x = 1,081,109,406.72
  5. Step 5: Solve for x
    x = 1,081,109,406.72/32,828.44
  6. Step 6: Final answer
    x = 32,932.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.